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Finding the Fourth Proportional to 610,684.52, 842,758.14 and 338,743.54

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Solution

The fourth proportional to 610,684.52, 842,758.14 and 338,743.54 is: 467,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,684.52 : 842,758.14 = 338,743.54 : x
  2. Step 2: Convert to fraction form
    610,684.52/842,758.14 = 338,743.54/x
  3. Step 3: Cross multiply
    610,684.52x = 842,758.14 × 338,743.54
  4. Step 4: Simplify right side
    610,684.52x = 285,478,875,707.42
  5. Step 5: Solve for x
    x = 285,478,875,707.42/610,684.52
  6. Step 6: Final answer
    x = 467,473.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.